Question

a^x +b^y=c^z
then find a, b, c
and x, y, z​

Answer 1

Step-by-step explanation:

ax=b → (i)

by=c → (ii)

cz=a → (iii)

Using (i) and (ii), we can write

axy=c → (iv)

Using (iii) and (iv), we get

axyz=a1 [Since, a1=a]

or, xyz=1 [Since the bases are equal, the powers will be equal as well]

.

Hope it helps! :)

or

a can be written as ——a=10^log a

Similarly ——————- b= 10^log b

——————————— c= 10^log c

Where a,b,c are positive

(We know log of 10=1, log of 100=2, log of 1000=3

10 can be written as 10=(10 )^(log 10)

100 can be written as 100=( 10)^(log 100)

1000=(10)^(log 1000)

=10^3=1000 )

a^x=b

Now (10)^(log a )^x=10^log b

Since base is same (10),we can equate the exponents.

(log a)^x = log b

Or x log a =log b

Or x = (log b ) / (log a)

Similarly y=(log c)/(log b)

z =(log a) /( log c)

xyz =(log b)/(log a) X (log c)/(log b) X (log a)/( log c) = 1

xyz = 1 ANSWER.

Answer 2

Answer:

infinite answers

Step-by-step explanation:

there are infinite values of a, b, c and x, y, z

example

if a=b=c=1

and x=y=1 ; z=2

satisfied the equation

hope u may understand

mark as brainliest if it is worth of it